﻿/* Copyright (C) 2008-2011, Bit Miracle
 * http://www.bitmiracle.com
 * 
 * This software is based in part on the work of the Sam Leffler, Silicon 
 * Graphics, Inc. and contributors.
 *
 * Copyright (c) 1988-1997 Sam Leffler
 * Copyright (c) 1991-1997 Silicon Graphics, Inc.
 * For conditions of distribution and use, see the accompanying README file.
 */

namespace BitMiracle.LibTiff.Classic.Internal
{
    partial class CCITTCodec
    {
        private static readonly int[] m_faxMainTable =
        {
            12,7,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,
            5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,5,6,2,3,1,0,5,3,1,3,1,0,
            2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,
            4,3,1,3,1,0,5,7,3,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
            1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,4,6,2,3,1,0,
            5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,
            2,3,0,3,1,0,4,3,1,3,1,0,6,7,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,
            4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
            5,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,
            5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,4,7,3,3,1,0,5,3,1,3,1,0,
            2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,
            4,3,1,3,1,0,4,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
            1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0
        };

        private static readonly int[] m_faxWhiteTable =
        {
            12,11,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
            7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
            7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,
            7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1792,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,
            9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,
            7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,
            7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,
            7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,
            7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
            7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,
            7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
            7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,
            9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,
            7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
            7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,
            7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,11,11,1856,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
            7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,
            7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
            7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
            7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,
            9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,
            7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
            7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,
            7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,
            9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,
            7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,
            7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,
            7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
            9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,
            9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            11,12,2112,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
            7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
            7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,
            7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,
            9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,
            7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,
            7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,
            7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2368,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,
            7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,
            7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,
            7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
            7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,
            9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,
            7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
            7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
            7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
            7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,
            7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
            7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
            7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,
            9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,
            7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
            7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,11,12,1984,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,
            7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,
            9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,
            7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,
            7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,
            7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
            9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,
            9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
            7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
            7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,
            7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1920,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,
            9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,
            7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,
            7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,
            7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,
            7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
            7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,
            7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
            7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,
            9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,
            7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
            7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,
            7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,11,12,2240,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
            7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,
            7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
            7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
            7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,
            9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,
            7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
            7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,
            7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,
            9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,
            7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,
            7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,
            7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
            9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,
            9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            11,12,2496,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
            7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
            7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,
            7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,12,11,0,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,
            9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,
            7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,
            7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,
            7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1792,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,
            7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,
            7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,
            7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
            7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,
            9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,
            7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
            7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
            7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
            7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,
            7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
            7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
            7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,
            9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,
            7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
            7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,11,11,1856,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,
            7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,
            9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,
            7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,
            7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,
            7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
            9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,
            9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
            7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
            7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,
            7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2176,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,
            9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,
            7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,
            7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,
            7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,
            7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
            7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,
            7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
            7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,
            9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,
            7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
            7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,
            7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,11,12,2432,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
            7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,
            7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
            7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
            7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,
            9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,
            7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
            7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,
            7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,
            9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,
            7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,
            7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,
            7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
            9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,
            9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            11,12,2048,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
            7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
            7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,
            7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,
            9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,
            7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,
            7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,
            7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1920,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,
            7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,
            7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,
            7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
            7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,
            9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,
            7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
            7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
            7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
            7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,
            7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
            7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
            7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,
            9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,
            7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
            7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,11,12,2304,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,
            7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,
            9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
            7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,
            7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,
            7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,
            7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
            9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,
            9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,
            7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
            7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
            7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,
            9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,
            9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
            7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,
            7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
            7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,
            7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
            7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2560,7,4,3,
            7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
            7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,
            9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
            7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,
            7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,
            7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,
            7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
            7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,
            7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
            7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,
            9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
            7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,
            9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7
        };

        private static readonly int[] m_faxBlackTable = 
        { 
            12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,12,128,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,56,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,30,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,57,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,54,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,52,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,48,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            11,12,2112,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,44,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,36,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,12,384,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,28,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,60,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,40,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2368,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,11,12,1984,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,50,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,34,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1664,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,26,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,13,1408,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,32,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,61,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,42,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,10,13,1024,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,13,768,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,62,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,12,2240,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,46,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,38,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,512,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            11,12,2496,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,10,12,192,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1280,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,31,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,58,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,896,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,13,640,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,49,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2176,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,45,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,37,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,10,12,448,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,29,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,13,1536,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,41,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,12,2432,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            11,12,2048,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,51,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,35,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,12,320,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,27,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,59,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,33,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,256,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,43,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,13,1152,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,55,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,63,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,11,12,2304,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,47,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,39,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,53,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2560,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,25,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,12,128,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,56,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,30,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,57,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,21,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,54,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,52,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,48,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2112,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,44,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,36,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,12,384,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,28,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,60,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,40,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,11,12,2368,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,1984,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,50,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,34,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,10,13,1728,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,26,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,13,1472,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,32,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,61,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,42,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1088,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,832,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,62,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            11,12,2240,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,46,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,38,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,13,576,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2496,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,25,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,192,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,13,1344,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,31,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1856,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,58,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,21,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,10,13,960,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,13,704,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,49,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,12,2176,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,45,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,37,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,448,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,29,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1600,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,41,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            11,12,2432,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2048,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,51,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,35,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            10,12,320,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,27,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,59,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,33,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,10,12,256,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,43,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1216,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,12,55,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,63,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2304,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,12,47,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,39,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,12,53,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,11,12,2560,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
            8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,
            8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
            8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,
            8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
            8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,
            8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
            8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,
            8,3,4,8,2,2
        };

        /*
         * Note that these tables are ordered such that the
         * index into the table is known to be either the
         * run length, or (run length / 64) + a fixed offset.
         *
         * NB: The G3CODE_INVALID entries are only used
         *     during state generation (see mkg3states.c).
         */
        private static readonly short[] m_faxWhiteCodes =
        {
            8, 0x35, 0,  /* 0011 0101 */
            6, 0x7, 1,  /* 0001 11 */
            4, 0x7, 2,  /* 0111 */
            4, 0x8, 3,  /* 1000 */
            4, 0xB, 4,  /* 1011 */
            4, 0xC, 5,  /* 1100 */
            4, 0xE, 6,  /* 1110 */
            4, 0xF, 7,  /* 1111 */
            5, 0x13, 8,  /* 1001 1 */
            5, 0x14, 9,  /* 1010 0 */
            5, 0x7, 10,  /* 0011 1 */
            5, 0x8, 11,  /* 0100 0 */
            6, 0x8, 12,  /* 0010 00 */
            6, 0x3, 13,  /* 0000 11 */
            6, 0x34, 14,  /* 1101 00 */
            6, 0x35, 15,  /* 1101 01 */
            6, 0x2A, 16,  /* 1010 10 */
            6, 0x2B, 17,  /* 1010 11 */
            7, 0x27, 18,  /* 0100 111 */
            7, 0xC, 19,  /* 0001 100 */
            7, 0x8, 20,  /* 0001 000 */
            7, 0x17, 21,  /* 0010 111 */
            7, 0x3, 22,  /* 0000 011 */
            7, 0x4, 23,  /* 0000 100 */
            7, 0x28, 24,  /* 0101 000 */
            7, 0x2B, 25,  /* 0101 011 */
            7, 0x13, 26,  /* 0010 011 */
            7, 0x24, 27,  /* 0100 100 */
            7, 0x18, 28,  /* 0011 000 */
            8, 0x2, 29,  /* 0000 0010 */
            8, 0x3, 30,  /* 0000 0011 */
            8, 0x1A, 31,  /* 0001 1010 */
            8, 0x1B, 32,  /* 0001 1011 */
            8, 0x12, 33,  /* 0001 0010 */
            8, 0x13, 34,  /* 0001 0011 */
            8, 0x14, 35,  /* 0001 0100 */
            8, 0x15, 36,  /* 0001 0101 */
            8, 0x16, 37,  /* 0001 0110 */
            8, 0x17, 38,  /* 0001 0111 */
            8, 0x28, 39,  /* 0010 1000 */
            8, 0x29, 40,  /* 0010 1001 */
            8, 0x2A, 41,  /* 0010 1010 */
            8, 0x2B, 42,  /* 0010 1011 */
            8, 0x2C, 43,  /* 0010 1100 */
            8, 0x2D, 44,  /* 0010 1101 */
            8, 0x4, 45,  /* 0000 0100 */
            8, 0x5, 46,  /* 0000 0101 */
            8, 0xA, 47,  /* 0000 1010 */
            8, 0xB, 48,  /* 0000 1011 */
            8, 0x52, 49,  /* 0101 0010 */
            8, 0x53, 50,  /* 0101 0011 */
            8, 0x54, 51,  /* 0101 0100 */
            8, 0x55, 52,  /* 0101 0101 */
            8, 0x24, 53,  /* 0010 0100 */
            8, 0x25, 54,  /* 0010 0101 */
            8, 0x58, 55,  /* 0101 1000 */
            8, 0x59, 56,  /* 0101 1001 */
            8, 0x5A, 57,  /* 0101 1010 */
            8, 0x5B, 58,  /* 0101 1011 */
            8, 0x4A, 59,  /* 0100 1010 */
            8, 0x4B, 60,  /* 0100 1011 */
            8, 0x32, 61,  /* 0011 0010 */
            8, 0x33, 62,  /* 0011 0011 */
            8, 0x34, 63,  /* 0011 0100 */
            5, 0x1B, 64,  /* 1101 1 */
            5, 0x12, 128,  /* 1001 0 */
            6, 0x17, 192,  /* 0101 11 */
            7, 0x37, 256,  /* 0110 111 */
            8, 0x36, 320,  /* 0011 0110 */
            8, 0x37, 384,  /* 0011 0111 */
            8, 0x64, 448,  /* 0110 0100 */
            8, 0x65, 512,  /* 0110 0101 */
            8, 0x68, 576,  /* 0110 1000 */
            8, 0x67, 640,  /* 0110 0111 */
            9, 0xCC, 704,  /* 0110 0110 0 */
            9, 0xCD, 768,  /* 0110 0110 1 */
            9, 0xD2, 832,  /* 0110 1001 0 */
            9, 0xD3, 896,  /* 0110 1001 1 */
            9, 0xD4, 960,  /* 0110 1010 0 */
            9, 0xD5, 1024,  /* 0110 1010 1 */
            9, 0xD6, 1088,  /* 0110 1011 0 */
            9, 0xD7, 1152,  /* 0110 1011 1 */
            9, 0xD8, 1216,  /* 0110 1100 0 */
            9, 0xD9, 1280,  /* 0110 1100 1 */
            9, 0xDA, 1344,  /* 0110 1101 0 */
            9, 0xDB, 1408,  /* 0110 1101 1 */
            9, 0x98, 1472,  /* 0100 1100 0 */
            9, 0x99, 1536,  /* 0100 1100 1 */
            9, 0x9A, 1600,  /* 0100 1101 0 */
            6, 0x18, 1664,  /* 0110 00 */
            9, 0x9B, 1728,  /* 0100 1101 1 */
            11, 0x8, 1792,  /* 0000 0001 000 */
            11, 0xC, 1856,  /* 0000 0001 100 */
            11, 0xD, 1920,  /* 0000 0001 101 */
            12, 0x12, 1984,  /* 0000 0001 0010 */
            12, 0x13, 2048,  /* 0000 0001 0011 */
            12, 0x14, 2112,  /* 0000 0001 0100 */
            12, 0x15, 2176,  /* 0000 0001 0101 */
            12, 0x16, 2240,  /* 0000 0001 0110 */
            12, 0x17, 2304,  /* 0000 0001 0111 */
            12, 0x1C, 2368,  /* 0000 0001 1100 */
            12, 0x1D, 2432,  /* 0000 0001 1101 */
            12, 0x1E, 2496,  /* 0000 0001 1110 */
            12, 0x1F, 2560,  /* 0000 0001 1111 */
            12, 0x1, G3CODE_EOL,  /* 0000 0000 0001 */
            9, 0x1, G3CODE_INVALID,  /* 0000 0000 1 */
            10, 0x1, G3CODE_INVALID,  /* 0000 0000 01 */
            11, 0x1, G3CODE_INVALID,  /* 0000 0000 001 */
            12, 0x0, G3CODE_INVALID,  /* 0000 0000 0000 */
        };

        private static readonly short[] m_faxBlackCodes = 
        {
            10, 0x37, 0,  /* 0000 1101 11 */
            3, 0x2, 1,  /* 010 */
            2, 0x3, 2,  /* 11 */
            2, 0x2, 3,  /* 10 */
            3, 0x3, 4,  /* 011 */
            4, 0x3, 5,  /* 0011 */
            4, 0x2, 6,  /* 0010 */
            5, 0x3, 7,  /* 0001 1 */
            6, 0x5, 8,  /* 0001 01 */
            6, 0x4, 9,  /* 0001 00 */
            7, 0x4, 10,  /* 0000 100 */
            7, 0x5, 11,  /* 0000 101 */
            7, 0x7, 12,  /* 0000 111 */
            8, 0x4, 13,  /* 0000 0100 */
            8, 0x7, 14,  /* 0000 0111 */
            9, 0x18, 15,  /* 0000 1100 0 */
            10, 0x17, 16,  /* 0000 0101 11 */
            10, 0x18, 17,  /* 0000 0110 00 */
            10, 0x8, 18,  /* 0000 0010 00 */
            11, 0x67, 19,  /* 0000 1100 111 */
            11, 0x68, 20,  /* 0000 1101 000 */
            11, 0x6C, 21,  /* 0000 1101 100 */
            11, 0x37, 22,  /* 0000 0110 111 */
            11, 0x28, 23,  /* 0000 0101 000 */
            11, 0x17, 24,  /* 0000 0010 111 */
            11, 0x18, 25,  /* 0000 0011 000 */
            12, 0xCA, 26,  /* 0000 1100 1010 */
            12, 0xCB, 27,  /* 0000 1100 1011 */
            12, 0xCC, 28,  /* 0000 1100 1100 */
            12, 0xCD, 29,  /* 0000 1100 1101 */
            12, 0x68, 30,  /* 0000 0110 1000 */
            12, 0x69, 31,  /* 0000 0110 1001 */
            12, 0x6A, 32,  /* 0000 0110 1010 */
            12, 0x6B, 33,  /* 0000 0110 1011 */
            12, 0xD2, 34,  /* 0000 1101 0010 */
            12, 0xD3, 35,  /* 0000 1101 0011 */
            12, 0xD4, 36,  /* 0000 1101 0100 */
            12, 0xD5, 37,  /* 0000 1101 0101 */
            12, 0xD6, 38,  /* 0000 1101 0110 */
            12, 0xD7, 39,  /* 0000 1101 0111 */
            12, 0x6C, 40,  /* 0000 0110 1100 */
            12, 0x6D, 41,  /* 0000 0110 1101 */
            12, 0xDA, 42,  /* 0000 1101 1010 */
            12, 0xDB, 43,  /* 0000 1101 1011 */
            12, 0x54, 44,  /* 0000 0101 0100 */
            12, 0x55, 45,  /* 0000 0101 0101 */
            12, 0x56, 46,  /* 0000 0101 0110 */
            12, 0x57, 47,  /* 0000 0101 0111 */
            12, 0x64, 48,  /* 0000 0110 0100 */
            12, 0x65, 49,  /* 0000 0110 0101 */
            12, 0x52, 50,  /* 0000 0101 0010 */
            12, 0x53, 51,  /* 0000 0101 0011 */
            12, 0x24, 52,  /* 0000 0010 0100 */
            12, 0x37, 53,  /* 0000 0011 0111 */
            12, 0x38, 54,  /* 0000 0011 1000 */
            12, 0x27, 55,  /* 0000 0010 0111 */
            12, 0x28, 56,  /* 0000 0010 1000 */
            12, 0x58, 57,  /* 0000 0101 1000 */
            12, 0x59, 58,  /* 0000 0101 1001 */
            12, 0x2B, 59,  /* 0000 0010 1011 */
            12, 0x2C, 60,  /* 0000 0010 1100 */
            12, 0x5A, 61,  /* 0000 0101 1010 */
            12, 0x66, 62,  /* 0000 0110 0110 */
            12, 0x67, 63,  /* 0000 0110 0111 */
            10, 0xF, 64,  /* 0000 0011 11 */
            12, 0xC8, 128,  /* 0000 1100 1000 */
            12, 0xC9, 192,  /* 0000 1100 1001 */
            12, 0x5B, 256,  /* 0000 0101 1011 */
            12, 0x33, 320,  /* 0000 0011 0011 */
            12, 0x34, 384,  /* 0000 0011 0100 */
            12, 0x35, 448,  /* 0000 0011 0101 */
            13, 0x6C, 512,  /* 0000 0011 0110 0 */
            13, 0x6D, 576,  /* 0000 0011 0110 1 */
            13, 0x4A, 640,  /* 0000 0010 0101 0 */
            13, 0x4B, 704,  /* 0000 0010 0101 1 */
            13, 0x4C, 768,  /* 0000 0010 0110 0 */
            13, 0x4D, 832,  /* 0000 0010 0110 1 */
            13, 0x72, 896,  /* 0000 0011 1001 0 */
            13, 0x73, 960,  /* 0000 0011 1001 1 */
            13, 0x74, 1024,  /* 0000 0011 1010 0 */
            13, 0x75, 1088,  /* 0000 0011 1010 1 */
            13, 0x76, 1152,  /* 0000 0011 1011 0 */
            13, 0x77, 1216,  /* 0000 0011 1011 1 */
            13, 0x52, 1280,  /* 0000 0010 1001 0 */
            13, 0x53, 1344,  /* 0000 0010 1001 1 */
            13, 0x54, 1408,  /* 0000 0010 1010 0 */
            13, 0x55, 1472,  /* 0000 0010 1010 1 */
            13, 0x5A, 1536,  /* 0000 0010 1101 0 */
            13, 0x5B, 1600,  /* 0000 0010 1101 1 */
            13, 0x64, 1664,  /* 0000 0011 0010 0 */
            13, 0x65, 1728,  /* 0000 0011 0010 1 */
            11, 0x8, 1792,  /* 0000 0001 000 */
            11, 0xC, 1856,  /* 0000 0001 100 */
            11, 0xD, 1920,  /* 0000 0001 101 */
            12, 0x12, 1984,  /* 0000 0001 0010 */
            12, 0x13, 2048,  /* 0000 0001 0011 */
            12, 0x14, 2112,  /* 0000 0001 0100 */
            12, 0x15, 2176,  /* 0000 0001 0101 */
            12, 0x16, 2240,  /* 0000 0001 0110 */
            12, 0x17, 2304,  /* 0000 0001 0111 */
            12, 0x1C, 2368,  /* 0000 0001 1100 */
            12, 0x1D, 2432,  /* 0000 0001 1101 */
            12, 0x1E, 2496,  /* 0000 0001 1110 */
            12, 0x1F, 2560,  /* 0000 0001 1111 */
            12, 0x1, G3CODE_EOL,  /* 0000 0000 0001 */
            9, 0x1, G3CODE_INVALID,  /* 0000 0000 1 */
            10, 0x1, G3CODE_INVALID,  /* 0000 0000 01 */
            11, 0x1, G3CODE_INVALID,  /* 0000 0000 001 */
            12, 0x0, G3CODE_INVALID,  /* 0000 0000 0000 */
        };

        private static readonly tableEntry m_horizcode = new tableEntry(3, 0x1, 0); /* 001 */
        private static readonly tableEntry m_passcode = new tableEntry(4, 0x1, 0); /* 0001 */
        private static readonly tableEntry[] m_vcodes = 
        {
            new tableEntry(7, 0x03, 0),  /* 0000 011 */
            new tableEntry(6, 0x03, 0),  /* 0000 11 */
            new tableEntry(3, 0x03, 0),  /* 011 */
            new tableEntry(1, 0x1, 0),   /* 1 */
            new tableEntry(3, 0x2, 0),   /* 010 */
            new tableEntry(6, 0x02, 0),  /* 0000 10 */
            new tableEntry(7, 0x02, 0)   /* 0000 010 */
        };

        private static readonly int[] m_msbmask = 
        {
            0x00, 0x01, 0x03, 0x07, 0x0f, 0x1f, 0x3f, 0x7f, 0xff
        };

        private static readonly byte[] m_zeroruns =  
        {
            8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4,  /* 0x00 - 0x0f */
            3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,  /* 0x10 - 0x1f */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0x20 - 0x2f */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0x30 - 0x3f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x40 - 0x4f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x50 - 0x5f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x60 - 0x6f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x70 - 0x7f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x80 - 0x8f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x90 - 0x9f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xa0 - 0xaf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xb0 - 0xbf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xc0 - 0xcf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xd0 - 0xdf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xe0 - 0xef */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xf0 - 0xff */
        };

        private static readonly byte[] m_oneruns = 
        {
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x00 - 0x0f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x10 - 0x1f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x20 - 0x2f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x30 - 0x3f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x40 - 0x4f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x50 - 0x5f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x60 - 0x6f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x70 - 0x7f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x80 - 0x8f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x90 - 0x9f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0xa0 - 0xaf */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0xb0 - 0xbf */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0xc0 - 0xcf */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0xd0 - 0xdf */
            3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,  /* 0xe0 - 0xef */
            4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8,  /* 0xf0 - 0xff */
        };

        private static readonly byte[] fillMasks = 
        {
            0x00, 0x80, 0xc0, 0xe0, 0xf0, 0xf8, 0xfc, 0xfe, 0xff
        };
    }
}
